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Finding the Third Proportional to 1,600,394 and 2,454,046

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Solution

The third proportional to 1,600,394 and 2,454,046 is: 3,763,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,394 : 2,454,046 = 2,454,046 : x
  2. Step 2: Convert to fraction form
    1,600,394/2,454,046 = 2,454,046/x
  3. Step 3: Cross multiply
    1,600,394x = 2,454,046 × 2,454,046
  4. Step 4: Simplify right side
    1,600,394x = 6,022,341,770,116
  5. Step 5: Solve for x
    x = 6,022,341,770,116/1,600,394
  6. Step 6: Final answer
    x = 3,763,036.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.